移动荷载下上覆弹性板饱和地基的动力响应

用半解析法对移动条形荷载作用下上覆弹性板饱和两相弹性介质的动力响应问题进行了研究。由忽略土粒压缩和土体自重的Biot波动方程出发,对荷载进行Fourier展开。假设响应函数形式,利用待定系数法求解了考虑固液耦合作用的两相介质在移动荷载作用下的土体位移,有效应力及孔压表达式。求解过程中考虑了土体和弹性板之间的相互作用,并假设土体与弹性板的竖向位移相等。通过计算给出了各参数对土体位移和孔压响应和的影响。数值结果表明弹性梁刚度对位移和孔压响应有较大影响。

Response of beams on poroelastic half-space soil medium to moving load

The dynamic response of a beam resting on poroelastic half-space soil medium subjected to moving loads was studied analytically/numerically under conditions of plane strain.The full dynamic poroelastic theory of Biot was employed,under the assumption of incompressible solid grain and neglecting the apparent mass density.The loading function was presented by a Fourier series expansion.The action between the beam and ground surface was taken into account while analyzing the system.By using the boundary condition at the surface of the soil,the governing equations of motion were then solved.The effect of elastic beam on the vertical displacement of soil were discussed under different parameters such as beam stiffness,load speed and coefficient of permeability.Numerical results of the vertical displacements of soil are given and indicate that the stiffness of the beam has pretty large effect on the response of the soil.